Another extension of the SM known in the literature is the 331 model. This model is gauged by
\(SU_{c}(3) \times SU_{L}(3) \times U(1)_{X}\) , in which the \(SU_{L}(2)\)  group of the EW model is substituted
by \(SU_{L}(3)\) , and the abelian sector is set by \(U(1)_{X}\) . The early motivation for the 331 model is to study
the unification schemes of gauge groups for the EW interaction [1]}. The consequence is the enlargement of
the fermions sector to include multiples with exotic quarks and left-handed Majorana neutrinos, the gauge sector is extended
to contain new charged and neutral gauge bosons, and the Higgs sector includes new scalar multiplets [2]}, [3]}.
As example of the phenomenology, the 331 model explains processes like \(e^{-}e^{-} \rightarrow W^{-} V^{-}\)  induced by right-handed
currents coupled to the new charged gauge boson \(V^{-}\)  [4]}. Nowadays, the 331 model in many different versions is applied
to the particle physics phenomenology at the LHC. A huge number of papers has been explored as a \(Z^{\prime }\)  benchmark model in the literature [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]}, [14]}, [15]}, [16]}, [17]}, [18]}, [19]}.
